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C₂×#9084 #195938

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

2130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

(1,2);(3,4)(5,6)(7,8,11,13,10,9,12,14)(15,16,19,22,20,21,18,17);(7,9,11,14,10,8,12,13)(15,17,19,21,20,22,18,16);(4,6)(8,9)(13,14)(15,18,20,19)(16,17,21,22)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 103134);